Most carnivals have a game in which a contestant swings a large hammer and hits a pedal, causing a metal ball to move up a pole. If the pedal is hit hard enough, the ball travels to the top and rings a bell, winning a prize for the contestant. The head of the hammer has a mass of 14 lbm, the metal ball has a mass of 4.0 lbm, and the bell is 30.0 ft above the pedal.
(a) How fast must the head of the hammer be traveling at the moment of impact to ring the bell?
(b) To solve Part (a) from the given information, you must have made at least three assumptions-one about the hammer, one about the pedal, and one about the pole. What were they, and what was their probable impact on your solution?